Nonnegatively realizable spectra with two positive eigenvalues
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Publication:3060035
DOI10.1080/03081080903278842zbMath1205.15019OpenAlexW1984659454MaRDI QIDQ3060035
Helena Šmigoc, Thomas J. Laffey
Publication date: 30 November 2010
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080903278842
Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items (7)
Spectral properties of the matrix \(C^{-1} B\) with positive definite \(C\) and Hermitian \(B\) as well as applications ⋮ Power series with positive coefficients arising from the characteristic polynomials of positive matrices ⋮ Further spectral properties of the matrix \(C^{-1}B\) with positive definite \(C\) and Hermitian \(B\) applied to wider classes of matrices \(C\) and \(B\) ⋮ Copositivity and complete positivity. Abstracts from the workshop held October 29 -- Novermber 4, 2017 ⋮ Universal realizability of spectra with two positive eigenvalues ⋮ Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem ⋮ The NIEP
Cites Work
- The spectra of nonnegative matrices via symbolic dynamics
- On an inverse problem for nonnegative and eventually nonnegative matrices
- On the comparison of some realizability criteria for the real nonnegative inverse eigenvalue problem
- Nonnegative realization of spectra having negative real parts
- Constructing symmetric nonnegative matrices
- Row Stochastic Matrices Similar to Doubly Stochastic Matrices
- A note on an inverse problem for nonnegative matrices
- The spectra of nonnegative integer matrices via formal power series
- Construction of nonnegative matrices and the inverse eigenvalue problem
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